Extention cohomological fields theories and noncommutative Frobenius manifolds
S. M. Natanzon
Abstract
We construct some extension ( Stable Field Theory) of Cohomological Field Theory. The Stable Field Theory is a system of homomorphisms to some vector spaces generated by spheres and disks with punctures. It is described by a formal tensor series, satisfying to some system of "differential equations". In points of convergence the tensor series generate special noncommutative analogues of Frobenius algebras, describing 'Open-Closed' Topological Field Theories.
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